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PARA
2004
Springer
13 years 10 months ago
Counting the Number of Connected Components of a Set and Its Application to Robotics
This paper gives a numerical algorithm able to compute the number of path-connected components of a set S defined by nonlinear inequalities. This algorithm uses interval analysis ...
Nicolas Delanoue, Luc Jaulin, Bertrand Cottenceau
MVA
2007
158views Computer Vision» more  MVA 2007»
13 years 4 months ago
Hybrid object labelling in digital images
The application of a technique for labelling connected components based on the classical recursive technique is studied. The recursive approach permits labelling, counting, and cha...
Julio Martín-Herrero
ICRA
2008
IEEE
117views Robotics» more  ICRA 2008»
13 years 11 months ago
Tracking hidden agents through shadow information spaces
— This paper addresses problems of inferring the locations of moving agents from combinatorial data extracted by robots that carry sensors. The agents move unpredictably and may ...
Jingjin Yu, Steven M. LaValle
CORR
2011
Springer
162views Education» more  CORR 2011»
12 years 11 months ago
Helly numbers of acyclic families
The Helly number of a family of sets with empty intersection is the size of its largest inclusionwise minimal sub-family with empty intersection. Let F be a finite family of open...
Éric Colin de Verdière, Grégo...
STOC
1990
ACM
135views Algorithms» more  STOC 1990»
13 years 8 months ago
A Separator Theorem for Graphs with an Excluded Minor and its Applications
ions (Extended Abstract) Noga Alon Paul Seymour Robin Thomas Let G be an n-vertex graph with nonnegative weights whose sum is 1 assigned to its vertices, and with no minor isomorp...
Noga Alon, Paul D. Seymour, Robin Thomas